In a state's Pick 3 lottery game, you pay $1.45 to select a sequence of three digits (from 0 to 9), such as 433. If you select the same sequence of three digits that are drawn, you win and collect $391.14. If you win, what is your net profit?
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- We have often heard that a dollar today is worth more than a dollar tomorrow. In light of what you learned about annuities, what advice would you offer to a current lottery winner regarding the option they should use in determining whether or not they should accept a lump sum payment or the annual payment from the lottery commision? Why or why not ?After hearing a knock at your front door, you are surprised to see the Prize Patrol from your state's online lottery agency. Upon opening your door, you learn you have won the lottery of $12.5 million. You discover that you have three options: (1) you can receive $1.25 million per year for the next 10 years, (2) you can have $10 million today, or (3) you can have $4 million today and receive $1 million for each of the next eight years. Your lawyer tells you that it is reasonable to expect to earn an annual return of 10 percent on investments. Required: 1. What is the present value of the above options? (FV of $1, PV of $1, FVA of $1, and PVA of $1) Note: Use appropriate factor(s) from the tables provided. 2. Which option do you prefer? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 2 above options? What is the present Note: Enter your answers in whole dollar not in millions (i.e., 1,000,000 not 1.0), rounded to nearest whole dollar.…It is a common fact that many lottery winners are “broke” sooner than later. If you won a $1,000,000 lottery, would you want to collect the lump sum winnings today or receive the monies over time? How does your decision influence the ultimate amount of cash you will collect? Explain the TVM factors you would consider as you make this decision.
- Marcus has won a $3,000,000 state lottery. He can take his prize as either 20 yearly payments of $150,000 or a lump sum of $1,275,000. Which is the better option? Assume an interest rate of 10%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to the nearest dollar as needed.) O A. The present value of the lottery winnings is $ this is worse than the lump sum of $1,275,000. B. The present value of the lottery winnings is $ this is better than the lump sum of $1,275,000. O C. The present value of the lottery winnings is the same as the lump sum of $1,275,000. Click to select and enter your answer(s) and then click Check Answer. All parts Clear javascript:doExercise(6): a 10:44 PM 10/26/2020 20In a certain state lottery, a lottery ticket costs 2. In terms of the decision to purchase or not to purchase a lottery ticket, suppose that the following payoff table applies: a. A realistic estimate of the chances of winning is 1 in 250,000. Use the expected value approach to recommend a decision. b. If a particular decision maker assigns an indifference probability of 0.000001 to the 0 payoff, would this individual purchase a lottery ticket? Use expected utility to justify your answer.Suppose you play a game of chance in which five numbers are chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. A computer randomly selects five numbers from zero to nine with replacement. You pay $2 to play and could profit $100,000 if you match all five numbers in order (you get your $2 back plus $100,000). Over the long term, what is your expected profit of playing the game? Can give at least an explanation? I don't really get this one.
- Find the expected payback for a game in which you bet $88 on any number from 0 to 499. If your number comes up, you get $1000.Congratulations! You have just won a small lottery. Lottery officials give you three alternatives for receiving your winnings: a)$8000 now b)$1000 per year for 12 years c)$15000 in 10 years If you can earn 6.5% on your money, which alternative should you choose?You just won a lottery—CONGRATULATIONS! Your parents have always told you to plan for the future, so since you already have a well-paying job you decide to invest rather than spend your lottery winnings. The payment schedule from the lottery commission is $100,000 after taxes at the end of year one and 19 more payments of exactly $100,000 after taxes in equal annual end-of-the-year deposits (i.e., 20 deposits of $100,000 each, the first deposit is one year from today) into your account paying 7% compounded annually. How much money will be in your account after the last deposit is made?
- You just won the lottery! As your prize, you will receive $1,200 a month for 2 years. If you can earn 6 percent on your money, what is this prize worth to you today? a 13942.72 b 27075.44 c 2382.12 d 2364.47NEEDS TO BE DONE ON EXCEL You have just been notified that you have won the local Bucks for Life lottery. The lottery rules state that you have the option of receiving $25,000 annually for the rest of your life beginning immediately or a single lump sum today. You are not sure which option to take but to begin with you want to be assured that the lottery has enough money set aside to make the annual payments if you choose that option. Your accountant emails you to let you know that “it appears that the lottery has $200,000 in a separate bank account to cover your annual payment.” Assuming an interest rate of 12%, is this enough cash to cover the annual payments of $25,000 over your lifetime?Imagine you have just won the Ohio Vax-Million lottery! However, you are infomed that you have two options to get the award maney. option A pays $1,000,000 immediately. Option B pays $1,750,000 at the end of five years from now. Using a discount rate of 5 percent, based on present values, find the present value of the Option B. Which would you choose? m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FV